251 research outputs found
Deformations of Calabi-Yau hypersurfaces arising from deformations of toric varieties
There are easy "polynomial" deformations of Calabi-Yau hypersurfaces in toric
varieties performed by changing the coefficients of the defining polynomial of
the hypersurface. In this paper, we explicitly constructed the
``non-polynomial'' deformations of Calabi-Yau hypersurfaces, which arise from
deformations of the ambient toric variety
Degenerations and mirror contractions of Calabi-Yau complete intersections via Batyrev-Borisov Mirror symmetry
We show that the dual of the Cayley cone, associated to a Minkowski sum
decomposition of a reflexive polytope, contains a reflexive polytope admitting
a nef-partition. This nef-partition corresponds to a Calabi-Yau complete
intersection in a Gorenstein Fano toric variety degenerating to an ample
Calabi-Yau hypersurface in another Fano toric variety. Using the
Batyrev-Borisov mirror symmetry construction, we found the mirror contraction
of a Calabi-Yau complete intersection to the mirror of the ample Calabi-Yau
hypersurface
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